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Finding the Fourth Proportional to 3,031.93, 4,184.13 and 1,705.63

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Solution

The fourth proportional to 3,031.93, 4,184.13 and 1,705.63 is: 2,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.93 : 4,184.13 = 1,705.63 : x
  2. Step 2: Convert to fraction form
    3,031.93/4,184.13 = 1,705.63/x
  3. Step 3: Cross multiply
    3,031.93x = 4,184.13 × 1,705.63
  4. Step 4: Simplify right side
    3,031.93x = 7,136,577.65
  5. Step 5: Solve for x
    x = 7,136,577.65/3,031.93
  6. Step 6: Final answer
    x = 2,353.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.